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Finding the Fourth Proportional to 406,875.40, 609,875.70 and 154,058.20

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Solution

The fourth proportional to 406,875.40, 609,875.70 and 154,058.20 is: 230,921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,875.40 : 609,875.70 = 154,058.20 : x
  2. Step 2: Convert to fraction form
    406,875.40/609,875.70 = 154,058.20/x
  3. Step 3: Cross multiply
    406,875.40x = 609,875.70 × 154,058.20
  4. Step 4: Simplify right side
    406,875.40x = 93,956,352,565.74
  5. Step 5: Solve for x
    x = 93,956,352,565.74/406,875.40
  6. Step 6: Final answer
    x = 230,921.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.